The solution of the given equation is x = 12. The solution is the value, that satisfies the given equation.
What is a solution for an equation?
- A solution is a value, that satisfies the equation.
- A solution is also said to be a root for the equation.
- Depending upon the degree of the variable, the number of solutions for that equation is defined.
Calculation:
Given equation is 5(x - 1) + 3x = 7(x + 1)
On simplifying the equation, we get
5(x - 1) + 3x = 7(x + 1) ⇒ 5x - 5 + 3x = 7x + 7
⇒ 8x - 5 = 7x + 7
⇒ 8x - 7x = 7 + 5
⇒ x = 12
Therefore, the solution for the given equation is x = 12.
Here, the power or the degree of the variable x is 1 in the given equation. Thus, it has only one solution.
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